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Finding the Third Proportional to 5,764 and 13,897

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Solution

The third proportional to 5,764 and 13,897 is: 33,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 13,897 = 13,897 : x
  2. Step 2: Convert to fraction form
    5,764/13,897 = 13,897/x
  3. Step 3: Cross multiply
    5,764x = 13,897 × 13,897
  4. Step 4: Simplify right side
    5,764x = 193,126,609
  5. Step 5: Solve for x
    x = 193,126,609/5,764
  6. Step 6: Final answer
    x = 33,505.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.